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Record data from Kies distribution and related statistical inferences
Record data from Kies distribution and related statistical inferences

Author(s): Nesreen M. Al-Olaimat, Husam A. Bayoud, Mohammad Z. Raqab
Subject(s): Methodology and research technology
Published by: Główny Urząd Statystyczny
Keywords: Bayesian estimates; Kies distribution; maximum likelihood estimation; records;

Summary/Abstract: The Kies probability model was proposed as an alternative to the extended Weibull models as it provides a more efficient fit to some real-life data sets in comparison to the aforementioned models. The paper proposes classical and Bayesian inferences for the Kies distribution based on records. Maximum likelihood estimates are studied jointly with asymptotic and bootstrap confidence intervals. Moreover, Bayes estimates, along with credible intervals are discussed assuming squared and LINEX loss functions. The proposed estimation methods have been investigated and compared via simulation studies. A real data set has been analysed for illustrative purposes.

  • Issue Year: 22/2021
  • Issue No: 4
  • Page Range: 153-170
  • Page Count: 18
  • Language: English
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